Monoidal categories and multiextensions

Details Monoidal categories and multiextensions Monoidal categories and multiextensions

1998-09-18

arxiv.org/abs/math/9809104v1

Mathematics

Category Theory

LaTeX, xy-pic, 38 pages

Scientific paper

We show that the obstruction to the existence of a strict symmetric monoidal structure on a monoidal stack $\cal C$ is determined by a commutator biextension associated to $\cal C$, and that this biextension is alternating under an additional hypothesis. The analogous construction for monoidal 2-stacks is described, together with the corresponding generalizations of the concept of a biextension.

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